A 100 gram ball m1, and a 200 gram ball, m2, connected by a rod
with a length of 60 cm. The mass of the rod is ignored. The axis of
rotation located at the center of the rod. What is the moment of
inertia of the balls about the axis of rotation?
What is the horizontal displacement of the object thrown into the air at a velocity of 30 m/s with an angle of 28 degree?
1. What is the momentum of a golf ball with a mass of 72 g moving at 43 m/s?
2. The impact between the ball and the club lasted for 2.3 x 10³ s. Given the problem in item number 1, what force has acted on the ball? What force has acted on the club?
In a projectile laboratory experiment on, a mini-launcher was tilted 60.0° above the horizontal. A 10.0 g ball was placed inside the mini launcher compressing the spring inside the mini-launcher, whose force constant is 21.0 N/m, by a distance 𝑥. When the spring is released, the spring pushes the ball out of mini launcher and reaches a height of 67.5 cm above the muzzle of the mini launcher. Assume that the inner walls of the mini-launcher is frictionless.
(a) What is the speed of the ball as it leaves the muzzle of mini-launcher?
(b) If the distance travelled by the ball inside the mini-launcher from the compressed spring is 20.0cm, to what distance 𝑥 was the spring initially compressed?
(c) What is the distance 𝑑 between the muzzle of the mini-launcher and the uncompressed length of the spring?
(d) What is the speed of the ball when the spring returns to its normal length?
The driver of a 2.0 × 103 kg red car traveling on the highway at 45m/s slams on his brakes to avoid striking a second yellow car in front of him, which had come to rest because of blocking ahead as shown in above Fig. After the brakes are applied, a constant friction force of 7.5 × 103 N acts on the car. Ignore air resistance.
(a) Determine the least distance should the brakes be applied to avoid a collision with the other vehicle?
(b) If the distance between the vehicles is initially only 40.0 m, at what speed would the collision occur?
(c) Write your conclusive observations on the result obtained from this numerical. i.e. the importance of Physics in daily life.
The radius of a silver bar is 30 𝑐𝑚. What force is required to stretch the bar by
12.7% of its length where Young’s modulus is 𝑌 = 7.25 × 1010 𝑁𝑚−2
Two trains A and B are moving towards each other at a speed of 156.2m/s. If the frequency of the whistle emitted by A is 844.6Hz, then what is the apparent frequency of the whistle heard by the passenger sitting in train B. Note that the velocity of sound in air is 340m/s.
1. What is the frequency of a wave, given that its period is about 6.7s?
2. If a water wave oscillates up and down 7 times each second and the distance between wave crests is 2.7m, what is its wavelength?
calculate the temperature at the base of the mountain if its height is 4 km and the temperature at the top is 6 C