Mechanics | Relativity Answers

A 10kg projectile is fired vertically upward from the ground. with an initial velocity of 50m/s. Determine the maximum height to which it will travel if atmospheric resistance is neglected.

A car is driven west for a distance of 50 km, then north for 30 km, and then in direction 30° east of

north for 25 km. Determine the total displacement of the car from its starting point by drawing the

vector diagram.

A man standing on the roof of a building throws a ball with a velocity 18.0 ms-1 at an angle 50o from the horizontal. The height of the building is 35.0 m. (Given g = -9.81 ms-2) Calculate:

(i) the maximum height of the ball from the ground,

(ii) the magnitude of the velocity of the ball just before it strikes the ground.

You are standing on a sheet of ice on a skating rink and your mass is 68.00 kg. Your 70.0 kg friend throws you a 0.450 kg ball that is travelling horizontally at 9.00 m/s. (a) If you catch the ball, with what speed do you and the ball move afterward? (b) If the ball hits you and bounces of your chest that it moves 7.50 m/s horizontally in the opposite direction, what is your speed after the collision?

Cars are equipped with flexble bumpers, so that they will bounce off each other during low-speed collisions. In one particular accident, an 1800 kg car traveling at 1.60 m/s to the left collides with a 1300 kg car that is moving at 1.25 m/s to the right. If the lighter car moves at 0.520 m/s to the left just after the collision and ignoring any road friction, (a) what is the speed of the heavier car just after the collision? (b) What is the change in the combined kinetic energy of the two-car system during this collision?

A bat strikes a 0.160 kg baseball. Just before impact, the ball is travelling horizontally to the right at 45.0 m/s, and it leaves the bat traveling to the left at an angle of 36.9 above the horizontal with at speed of 60.0 m/s. If the ball and the bat are in contact for 1.75 ms, (a) find the components of the

impulse of the net force on the ball. (b) What is the magnitude and direction of the average force on the ball?

Two vehicles are approaching an intersection. One is a 2800 kg pick-up traveling at 15.0 m/s from) west to east, and the other is 1750 kg sedan moving north to south at 23.0 m/s. (a) What are the

magnitude of the individual momentum of each vehicle? (b) What is the magnitude and direction of the total momentum of the system? (c) What is their total kinetic energy?

determine the constant force required to cause the 0.5-kg slider to have a speed at position 2. the slider starts from rest at position 1 and the unstretched length of the spring of modu-lus is 200 mm. neglect friction.

In your words explain how the theory of light resolves the conflict between newtonian mechanics and maxwell theory

The resistance 𝑅𝜃 of a particular resistance thermometer at a Celsius temperature 𝜃 as measured by a constant-volume gas thermometer is given by

𝑅𝜃 = 50.00 + 0.1700𝜃 + 3.00 × 10−4𝜃2.

Calculate the temperature as measured on the scale of the resistance thermometer which corresponds to a temperature of 60°𝐶 on the gas thermometer.