Answer:
Since these two forces are of equal magnitude and in opposite directions, they balance each other. The book is said to be at equilibrium. There is no unbalanced force acting upon the book and thus the book maintains its state of motion. When all the forces acting upon an object balance each other, the object will be at equilibrium; it will not accelerate.
Explanation:
Answer:
10 dumbbells
Explanation:
First we need to calculate the gravity on the moon.
0.166 x 9.8 m/s² = 1.627 m/s² (the gravity is 0.166 times the Earth's gravity)
Taking this acceleration due to gravity, and multiplying it by the mass of a single dumbbell.
F = m x a
F = (225 kg) x (1.627 m/s²)
F = 366.075 N (the amount of force exerted by the dumbbell)
Taking the weightlifter's total upward force and dividing it by the force exerted by one dumbbell, we can calculate the amount of dumbbells that can be carried.
(3750 N) / (366.075 N)
= 10.24 dumbbells (but since there cannot be a fraction of a dumbbell, the answer is <u>10 dumbbells</u>).
Answer:
The magnitude of the static frictional force is 1200 N
Explanation:
given information :
radius, r = 0.380 m
applied-torque, τ1 = 456 N
The car has a constant velocity, thus the acceleration is zero
α = 0
Στ = I α
τ1 - τ2 = I α
τ2 = counter-torque
τ1 - τ2 = 0
τ1 = τ2
r x = τ1
= the static frictional force (N)
= τ1 /r
= 456 N/0.380 m
= 1200 N
Given that,
Angle = 30°
Initial velocity = 15 m/s
We need to calculate the time of flight
Using formula of time of flight
Where, u = initial velocity
g = acceleration due to gravity
Put the value into the formula
We need to calculate the final velocity of the ball
Using equation of motion
Hence, The final velocity of the ball is 29.7 m/s.
Answer : The correct option is, (D) Velocity includes rate of change and direction.
Explanation :
Speed : Speed is defined as the distance traveled by an object with respect to the time taken. It is a scalar quantity that means it tell us about the magnitude of an object not direction.
Velocity : Velocity is defined as the rate of change of position of an object with respect to the time. It is a vector quantity that means it tell us about the magnitude and direction of an object.
The only difference between the speed and the velocity is that the velocity tell us about magnitude and direction but speed tell us about magnitude only.
Hence, the correct option is, (D) Velocity includes rate of change and direction.