Rutherford fired a beam of alpha particles (helium nuclei) at a thin sheet of gold. An alpha particle was observed to be deflected by 90.0°; its speed was unchanged. The alpha particles used in the experiment had an initial speed of 2.4 ✕ 107 m/s and a mass of 6.7 ✕ 10−27 kg. Assume the alpha particle collided with a gold nucleus that was initially at rest. Find the speed of the nucleus after the collision.

Q: A 180-g billiard ball is shot toward an identical ball at velocity vi = 6.90 m/s. The…

A: mass of each billiard's ball (m) = 180 g initial velocity of first ball = 6.90 m/s initial velocity…

Q: Learning Goal: To learn a systematic approach to solving Newton's 2nd law problems using a simple…

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Q: A block of mass m1 = 1.95 kg and a block of mass m2 = 5.75 kg are connected by a massless string…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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Q: parallel plate capacitor has metal plates, each of area 1.50 m2, separated by 1.50 mm. What charge…

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Q: A mass M is traveling at initial speed V0= 25.0 m/s. It is brought to rest over a distance of 62.5 m…

A: Given data:  Initial velocity (v0) = 25.0 m/s Final velocity (v) = 0 m/s Distance (d) = 62.5 m Force…

Q: At the instant shown, cars A and B (angle between them is 60°) are traveling at speeds of 65 mi/h…

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Q: (a) Three point charges are located on the circumference of a circle of radius r, at the angles…

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Q: A student standing on a cliff throws a rock from a vertical height of d=8.0m above the level ground…

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Q: Point charges of 28.0 µC and 48.0 µC are placed 0.500 m apart. (a) At what point (in m) along the…

A: Given, point charge q1=28 μC point charge q2=48 μC separation between charges r=0.5 m

Q: A 150-kg rugby player running east with a speed of 4.00 m/s tackles a 95.0-kg opponent running north…

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Q: the number of significant figures in each of the following. 1. 82.8 ± 0.9 2. 3.57500 ✕ 109 3. 2 ✕…

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Q: A fish maintains its depth in fresh water by adjusting the air content of porous bone or air sacs to…

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Q: A proton is acted on by an uniform electric field of magnitude 353 N/C pointing in the negative y…

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Q: A roller-coaster car has a mass of 1200 kg when fully loaded with passengers. as the car passes over…

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Q: A 2180 kg truck traveling north at 33 km/h turns east and accelerates to 58 km/h. (a) What is the…

A: given -            mass of truck =2180 kg              Vi = 33 km/h              Vf = 58 km/h

Q: Simple Machine Prelab Draw the free body diagram on for each of the masses and the relevant pulleys…

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Q: Sketch the vectors. Calculate for the resultant vector. Induce a methodical approach to the way of…

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Q: In potassium at 68 GHz three consecutive cyclotron resonances are observed at magnetic fields of…

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Q: Use the diagram and scale to determine the magnitude and direction of the resultant for the vector…

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Q: need help, some explanation would be much appreciated for upcoming homework. Thanks in advance.

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Q: A student has a calorimeter with 211.7 grams of 26.6∘C water contained within it.  The student then…

A: Given data:  A student added hot water into cold water m1 = 211.7 g and T1 = 26.6°C m2 = 130.7 g and…

Q: A pot fell off a shelf and took 0.60 seconds to reach the ground with an acceleration of 9.80 m/s2…

A: Given,  Pot fell under gravity. Time taken by pot to reach ground  t= 0.60 sec  Acceleration due to…

Q: Standing at the top of a boulder, Aliza drops his marble and free fall for 2.6 seconds. What will be…

A: Given data:  A marble is dropped  Initial velocity (u) = 0 m/s Time (t) = 2.6 s Required: The final…

Q: he separation distance between the two plates of a parallel plate capacitor is 2.17 cm. An electron…

A: GivenDistance of seperation between the plates, d=2.17 cm=2.17×10-2 mKinetic energy of electron,…

Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…

A: radius (r) = 12.2 cm = 0.122 m Angular velocity (ω) = 2.45 rev/sec

Q: at constant velocity because a force of 107 N is applied to the right at an upward angle of 25.3…

A: Given value--- Mass = 30.1 kg. F = 106 N. g = 10 N/kg. angle = 25.3 degree . We have to find---…

Q: 1. The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial…

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Q: 1. A 200-kg cylinder is hung by means of two cables AB and AC, which are attached to the top of a…

A: Given, mass of the cylinder, m = 200 kg

Q: why does the specific heat of water still 4.184 from the unit kj/kg K to j/kg K?

A: The specific heat capacity of water is the heat required to raise the temperature of a unit mass of…

Q: What shunt resistance is required to make alvanometer into an ammeter with a range

A: A shunt is a device that creates a low-resistance path for electric current, to allow it to pass…

Q: A long piece of wire with a mass of 0.170 kg and total length of 4.00 m is used to make a square…

A: Given :            Mass of the wire, m = 0.170 kg            Total length of the wire, L = 4.0 m…

Q: A 0.605 kg toy train engine is travelling around a horizontal circular track. The track has a radius…

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Q: (b) A drone with mass m is flying at speed vo (in the positive direction) when it suddenly explodes…

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Q: An arrow is fired with an initial velocity v0 at an angle θ0 above horizontal. Assume the arrow…

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Q: If a 86.8 kg object is accelerating at 5.03m/s/s to the North, then what is the net force on the…

A: Given value--- mass = 86.8 kg acceleration = 5.03 m/s2.  We have to find--- force ?

Q: A wire carries a current of 13.0 A in a direction that makes an angle of 24.0° with the direction of…

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Q: Which statement regarding the photoelectric effect is FALSE? Electrons can be ejected with energy…

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Q: The physical pendulum in the figure has two possible pivot points A and B. Point A has a fixed…

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Q: Consider the following. u= (-5, -7, -1), v = (-6, 3, -3) (a) Find the projection of u onto v. (b)…

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Q: Three point charges are arranged as shown in the figure below. (a) Find the vector electric field…

A: Given data, The positive charge q1=5.5 nC=5.5×10-9 C The negative charge q2=-3 nC=-3×10-9 C The test…

Q: the 1,00 mA, 20 2 of 0 to 50.0 mA? What shunt resistance is required to make galvanometer into an…

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Q: A simple pendulum, 1.00 m in length, is released from rest when the support string is at an angle of…

A: Given data:  Length (L) = 1.00 m Initial velocity (u) = 0 m/s Angle (θ) = 48.0°,from the vertical g…

Q: 12x10-5W of sound power passed through the surfaces labeled 1 and 2. The areas of these surfaces are…

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Q: Two objects collide head-on (see figure below). The first object is moving with an initial speed of…

A: Given value--- v1i = 8.09 m/s v2i = 10.00 m/s. m1 = 5.06 kg, m2 = 6.18 kg, We have to find---…

Q: Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated…

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Q: the capacitance (in µF) of a parallel plate capacitor having plates of area 7.00 m2 that are…

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Q: boy measured the area of a rectangle plot to be 231 . But the actual area of the plot has been…

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Q: You are standing on Earth's surface, and the full Moon is directly overhead. Y Part A By what…

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Q: Consider the 65.0 kg ice skater being pushed by two others shown in the figure. Fot F₁ F₂ Free-body…

A: Given, mass of the skater, m = 65.0 kg Forces, F1 = 28.0 NF2 = 17.0 N