Answer:
C
Explanation:
THINNING OF THE BIOSPHERE
The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.
<h3>
Angular velocity of the tire</h3>
The angular velocity of the tire is the rate of change of angular displacement of the tire with time.
The magnitude of the angular velocity of the tire is calculated as follows;
ω = 2πN
where;
- N is the number of revolutions per second
ω = 2π x (5.25 / 3)
ω = 11 rad/s
<h3>Tangential velocity of the tire</h3>
The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.
The magnitude of the tangential velocity is caculated as follows;
v = ωr
where;
- r is the radius of the car's tire
v = 11r m/s
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The magnitude of the force is 18.6 N
Explanation:
The work done by a force on an object is given by
where
F is the magnitude of the force
d is the displacement of the object
is the angle between the direction of the force and of the displacement
For the block in this problem, we have
is the work done
d = 1.35 m is the displacement of the block
is the angle between the force and the displacement
Solving for F, we find the magnitude of the force:
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Usually upwards of 80 to around 150 solar masses
ANSWER
EXPLANATION
To find the velocity of the bowling ball, we apply the law of conservation of momentum, which states that<em> the total momentum in a system is constant</em>.
Mathematically, it is written as:
where m = mass of bowling ball = 10.8 kg
M = mass of basketball = 0.58 kg
u = initial velocity of bowling ball = 12 m/s
U = initial velocity of basketball = -4 m/s
v = final velocity of bowling ball
V = final velocity of basketball = 9 m/s
Note: the initial velocity of the basketball is negative since it is moving in a different direction from the bowling ball.
We have to solve for final velocity, v.
Therefore, we have:
That is the final velocity of the bowling ball.