Newton's law of Universal Gravitation says that one particle attracts the rest of every other particle in the universe using a force that is directly equivalent to the product of their masses and inversely equivalent to the square of the distance between them.
Answer:
F = 9.82 N
Explanation:
given,
Force x-component = 5.69 N
Force y-component = 8 N
magnitude of force = ?
Resultant of force




F = 9.82 N
Hence, the magnitude of force is equal to 9.82 N
(1)
Cheetah speed: 
Its position at time t is given by
(1)
Gazelle speed: 
the gazelle starts S0=96.8 m ahead, therefore its position at time t is given by
(2)
The cheetah reaches the gazelle when
. Therefore, equalizing (1) and (2) and solving for t, we find the time the cheetah needs to catch the gazelle:



(2) To solve the problem, we have to calculate the distance that the two animals can cover in t=7.5 s.
Cheetah: 
Gazelle: 
So, the gazelle should be ahead of the cheetah of at least

Answer:
The magnitude of the applied torque is 
(e) is correct option.
Explanation:
Given that,
Mass of object = 3 kg
Radius of gyration = 0.2 m
Angular acceleration = 0.5 rad/s²
We need to calculate the applied torque
Using formula of torque

Here, I = mk²

Put the value into the formula



Hence, The magnitude of the applied torque is 