A forensic scientist test-fires a projectile (mass mP) at a cubic block (volume V), made from wood (density D), resting on a rough surface (static = kinetic coefficient uS). The bullet enters the block with an initial velocity vO and exits the block with a velocity v1. The friction forces on the bullet as it passes through the length of the block are unknown and are assumed to be constant. Solve these problems algebraically first: a) What is the deceleration of the bullet inside the block? How many "g" is that? b) How much time does it take the projectile to pass through the block? c) What is the velocity of the block as the bullet exits? d) How long (time) and how far (distance) does the block slide after the bullet has exited? e) Solve the above numerically for the following parameters (g =9.81m/s^2): mP = 10g, V = 0.1m^3, D = 500kg/m^3, µS = 0.8, v0 = 500m/s, v1 = 100m/s %3D

A forensic scientist test-fires a projectile (mass mP) at a cubic block (volume V), made from wood (density D), resting on a rough surface (static = kinetic coefficient uS). The bullet enters the block with an initial velocity vO and exits the block with a velocity v1. The friction forces on the bullet as it passes through the length of the block are unknown and are assumed to be constant. Solve these problems algebraically first: a) What is the deceleration of the bullet inside the block? How many "g" is that? b) How much time does it take the projectile to pass through the block? c) What is the velocity of the block as the bullet exits? d) How long (time) and how far (distance) does the block slide after the bullet has exited? e) Solve the above numerically for the following parameters (g =9.81m/s^2): mP = 10g, V = 0.1m^3, D = 500kg/m^3, µS = 0.8, v0 = 500m/s, v1 = 100m/s %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

FIRST ORDER LINEAR EQUATIONS TO DYNAMICS A rocket that starts from rest is propelled by a constant thrust of 3000 pounds in a straight horizontal path for 40 seconds. Suppose that, as the propellant is burned, the mass of the rocket varies with time in accordance with m = 50 – t slugs, and that the drag force is numerically equal to four times the velocity. Please answer both parts: a) Find the velocity equation of the rocket (which includes finding C) b) What is the velocity of the rocket when t = 30 seconds?
YouTube Mall Over... Leeds International... M1 Questions by To... Question Completion Status: QUESTION 2 A car of mass 750 kg moves along a stretch of road which can be modelled as a line of greatest slope of a plane inclined to the horizontal at 30°. As the car moves up the roa for 500 m its speed reduces from 20 ms-¹ to 15 ms-¹. Calculate: a the loss of kinetic energy of the car 65,625) 66,625 67,625) O 68,625)
Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael Swanbom
Problem Solving: )An object falls from rest in a medium offering a resistonce. The velocity of the object hefore the ohject reaches the ground is given by the differential egua- tion dv/t + V% = 32, t/sec. uhat is the veloaty of the okject one second after it falls ?
A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested
The small particle of mass (800 gm) spinning with angular velocity (w₁ = 2.3 rad/s, at r₁ = 400 mm), if we use force (F) to change the Angular velocity to (w₂, and r₂ = 250 mm) the value of F is: W1 Select one: A. None B. F = 5.63 N C. F = 9.47 N D. F = 3.52 N F
A plane with floats lands on the lake. Its landing speed is 240km/h and the speed drops to 34 km/h after gliding 450m in the water. Assume that the deceleration caused by water resistance is proportional to the square of the velocity: a=−k⋅v^2. a) What is the parameter k that depends on the shape and size of the floats? b) How long time does it take for an airplane to travel 450 m?
Drop-load (I)This exercise is part of a series of problems aimed at modelling a situation by progressively refining our model to consider more and more parameters. This progressive approach is very close to what professional scientists do! Context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. Information The masses of the charges A and B are known.The pulley is a ring of mass mp and radius R that can rotate without friction.The surface on which mass A is placed is horizontal.There is no friction between mass A and the surface on which it is placed.The string attached to mass A is perfectly parallel to the surface on which the mass rests. SchematizationDraw a diagram of each object that interests us. Draw x- and y-axes for each object. Draw and name each force…
LR = 5m, LG = 2.5m and LC = 1.1m Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark 5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given below is based on that for the rocket motors they used (all manufactured and named by what was Royal Ordinance – now part of Roxel): Raven XI Motor Total mass: 1280 kg Length = LR See Case Table (units are m) Diameter = 0.44 m Goldfinch IIA Motor Total mass: 420 kg Length = LG See Case Table (units are m) Diameter = 0.44 m Cuckoo IV Motor Total mass: 242 kg Length = LC See Case Table (units are m) Diameter = 0.44 m The payload mass which is additional to the motor masses is to be taken as 100 kg. (a) For the configurations of the three rockets shown on Page 3 in Fig. Q2: (i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of each rocket. (ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each rocket about its…
During a bicep curl on a bicep curl machine, I'm curling a weight stack of 100 pounds (single arm...I'm jacked like that). At this very moment, the weight stack has a moment arm of 0.12m, my elbow has an angle of 63deg, my muscle force vector has an angle of 23deg, and it attaches 3cm below my elbow joint on my radius. How much force must my bicep create right at this moment to hold the weight stack in place?
Drop-load (I)This exercise is part of a series of problems aimed at modeling a situation by progressively refining our model to take into account more and more parameters. This progressive approach is very close to what professional scientists do! context We want to lower a suspended load in a controlled way, so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. To slow down the descent, we added a spring behind the mass (A). Information The masses of the charges A and B are known.The mass of the rope itself is negligible (very small compared to the loads).The pulley has negligible mass and can rotate without friction.The charge ? is initially stationary and is at a known height h.The surface on which mass A is placed is horizontal.There is no friction between mass A and the surface on which it is placed.The string attached…
What is the volume of 92.4 grams of chlorine gas that is at a temperature of 46° C and a pressure of 694 mmHg? (Chlorine, R = 62.4 L- mm Hg/mole K and MW = 70.906 g/ mol) Computation: Show your Solution A lump of ice falls from an airplane as it comes into land. If the ice hits the ground with a vertical speed of 85m/s, what was the height of the plane when the ice fell off? (Assume that friction can be ignored.)