Answer:
option (E) 1,000,000 J
Explanation:
Given:
Mass of the suspension cable, m = 1,000 kg
Distance, h = 100 m
Now,
from the work energy theorem
Work done by the gravity = Work done by brake
or
mgh = Work done by brake
where, g is the acceleration due to the gravity = 10 m/s²
or
Work done by brake = 1000 × 10 × 100
or
Work done by brake = 1,000,000 J
this work done is the release of heat in the brakes
Hence, the correct answer is option (E) 1,000,000 J
Answer:
Explanation:
Let m is the mass of both cars. The first car is moving with speed v and the other car is moving with speed 2v. The only force acting on both cars is the centripetal force.
For faster car on the road,
v = 2v
..........(1)
For the slower car on the road,
............(2)
Equation (1) becomes,
So, the frictional force required to keep the slower car on the road without skidding is one fourth of the faster car.
<h2>Answer:</h2>
<u>Angular velocity of bicycle tire is 15.78 radians per second.</u>
<h3>Explanation:</h3>
Angular velocity is the change in angular speed of an object with respect to time take for change or it is the rate of change of circular motion.
In the given question the circular displacement is 25 rounds around a central point.
The angular displacement is measured in degrees and 1 round is equal to 360 degrees.
25 Rounds = 25 × 360 = 9000 degrees.
Angular velocity = angular displacement /time = 9000/10 = 900 degrees per second.
In SI,angular velocity is represented in radians per second.
So, 1 radian = 57.29 degrees
Angular velocity = 15.78 radians per second
Answer:
17 m/s south
Explanation:
= Mass of dog = 10 kg
= Mass of skateboard = 2 kg
v = Combined velocity = 2 m/s
= Velocity of dog = 1 m/s
= Velocity of skateboard
In this system the linear momentum is conserved
The velocity of the skateboard will be 17 m/s south as the north is taken as positive
