A planet exerts a gravitational force of magnitude 4e22 N on a star. If the planet were 3 times closer to the star (that is, if
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Complete Question
A wave is described by y(x,t) = 0.1 sin(3x + 10t), where x is in meters, y is in centimetres and t is in seconds. The angular wave frequency is
Answer:
The value is
Explanation:
From the question we are told that
The equation describing the wave is y(x,t) = 0.1 sin(3x + 10t)
Generally the sinusoidal equation representing the motion of a wave is mathematically represented as
Where w is the angular frequency
Now comparing this equation with that given we see that
The gravitational force between two objects is given by:
where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the separation between the two objects
The distance of the telescope from the Earth's center is
, the gravitational force is 
and the mass of the Earth is 
, therefore we can rearrange the previous equation to find m2, the mass of the telescope:
where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the separation between the two objects
The distance of the telescope from the Earth's center is
Newton's Laws of motion describe the motion of an object based on the applied force
The correct option that gives the relationships between the forces is the the option;
<u> on bat</u> =
<u> on ball</u>
<em>(Either option A or B without the minus symbol before </em><em>, likely typographical error)</em>
<em />
Reason:
Force exerted on the bat by the ball =
Force exerted on the ball by the bat =
Given that the batter hits the ball with the bat, the force exerted by the bat on the ball, , is reacted to by the force of the ball acting on the bat,
According to Newton's third law of motion, action and reaction are equal and opposite. Therefore, at the moment when the ball hits the bat, we have;
<u> on bat</u> =
<u> on ball</u>
<em>Where the force of the bat is high, the ball is accelerated to travel at high speed</em>
Learn more Newton's Laws of motion here: