Answer:
We conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.
Explanation:
Given
To determine
We need to determine the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s.
We know a centripetal force acts on a body to keep it moving along a curved path.
We can determine the centripetal force using the formula

where
is the mass
is the velocity
is the radius
is the centripetal force
substitute m = 7, r = 4, and v = 15 in the formula



N
Therefore, we conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.
Answer:
Part a)
a = -9.81 m/s/s
Part b)
v = 0
Part c)
v = 9.81 m/s
Part d)

Explanation:
Part a)
During the motion of ball it will have only gravitational force on the ball
so here the acceleration of the ball is only due to gravity
so it is given as

Part b)
As we know that ball is moving against the gravity
so here the velocity of ball will keep on decreasing as the ball moves upwards
so at the highest point of the motion of the ball the speed of ball reduce to zero

Part c)
We know that the total time taken by the ball to come back to the initial position is T = 2 s
so in this time displacement of the ball will be zero



Part d)
at the maximum height position we know that the final speed will be zero
so we will have

here we have


Answer:
Satellites can gather weather data from much higher altitudes than land-based instruments can.
The ball needs to accelerate with a magnitude <em>a</em> (pointed towards the center of the circle) of
<em>a</em> = (5.0 m/s)² / (2.0 m) = 12.5 m/s²
Then the required tension <em>F</em> in the string would need to be
<em>F</em> = (2 kg) (12.5 m/s²) = 25 N
Answer:
-5 meters
Explanation:
x = 3t² + 2t − 5
The initial displacement is when t = 0.
x = 3(0)² + 2(0) − 5
x = -5