Mechanics | Relativity Answers

A 0.300 kg ball, initially at rest on a horizontal, frictionless surface, is struck by a 0.200 kg ball moving initially along the x axis with a speed of 2.00m/s. After the collision, the 0.200 kg ball has a speed of 1.00 m/s at an agle of = 53.0 0 to the positive x axis. (a) Determine the velocity and direction of the 0.300-kg ball after the collision

Sand is deposited at a uniform rate of 20 Kg/s and with negligible kinetic energy on to an empty conveyor belt moving horizontally at a constant speed of 10 meter per minute. Find (a) the force required to maintain the constant velocity, (b) the power required to maintain constant velocity, and (c) the rate of change of kinetic energy of the moving sand

PLease help me to Draw a free-body diagram of a man standing on the floor of a room and identify Newton’s third law “Action and Reaction” pairs.

When a small steel sphere is dropped gently down the axis of a wide jar of glycerin, the sphere (A) travels with constant velocity throughout its motion. (B) accelerates at first then reaches a constant velocity. (C) decelerates at first then reaches a constant velocity. (D) accelerates throughout its motion.

A jet airliner, moving initially at 300 Km/h to the east, suddenly enters a region where the wind is blowing at 100 Km/h toward the direction 30.00 north of east. What is the new speed and direction of the aircraft relative to the ground?

Your dog is running around the grass in your backyard. He undergoes successive displacements 3.50 m south, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?

A girl delivering newspaper covers her route by traveling 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. (a) What is her resultant displacement? (b) What is the total distance she travels?

A person walks 25.00 north of east for 3.10 km. How far would she have to walk due north and due east to arrive at the same location?

The motion of a rocket burning its fuel at a constant rate while moving through empty
interstellar space can be described by
x(t) = uext + uex
1
b
− t

ln(1 − bt).
uex and b are constants (uex is the exhaust velocity of the gases at the tail of the rocket,
and b is proportional to the rate of fuel consumption). For this question, you should
know that ln is the inverse of the exponential function, that is, ln(e
x
) = x. Also,
d
dx ln x =
1
x
. [10]
a) What happens when t > 1/b? Explain.
b) Find a formula for the instantaneous velocity of the rocket.
c) Find a formula for the instantaneous acceleration.
d) Suppose that a rocket with uex = 3.0 × 103 m/s and b = 7.5 × 10−3
s
−1
takes 120
s to burn all its fuel. What is the instantaneous velocity at t = 0 s? At t = 120 s?