Given Information:
Mass = m = 3 kg
Speed = v = 6 m/s
Radius = r = 2 m
Required Information:
Magnitude of the acceleration = a = ?
Answer:
Magnitude of the acceleration = 18 m/s²
Explanation:
The acceleration of the block traveling along a circular path with some velocity is given by
a = v²/r
a = 6²/2
a = 36/2
a = 18 m/s²
Therefore, the magnitude of the acceleration of the block is most nearly equal to 18 m/s².
Bonus:
The corresponding force acting on the block can be found using
F = ma (a = v²/r)
F = mv²/r
Answer:
The 10 kg rock has more inertia than the other two rocks.
Explanation
Answer:
d) shortening the string
Explanation:
Time period of a pendulum clock is dependent on two factors namely:length and acceleration due to gravity.
When a clock loses time, the time period of the pendulum clock increases.
This however can be corrected by decreasing the length of the pendulum.The time period of the pendulum clock is not dependent on the mass of the bob. The time period of the pendulum clock can be corrected only by changing the length of the pendulum string.
Answer:
A) 8π ft²/ft
B) 24π ft²/ft
C) 48π ft²/ft
Explanation:
Surface area of the spherical balloon is not clear here but it is supposed to be;
S = 4πr²
where:
r is the radius of the spherical balloon
So thus, the rate of change of the surface area of the spherical balloon by its radius will be:
dS/dr = 8πr
A) at r = 1ft;
dS/dr = 8 × π × 1
dS/dr = 8π ft²/ft
B) at r = 3 ft;
dS/dr = 8 × π × 3
dS/dr = 24π ft²/ft
C) at r = 6ft;
dS/dr = 8 × π × 6
dS/dr = 48π ft²/ft
Put vinegar in a water bottle with no water, fill a balloon with baking soda, without pouring the baking soda in the vinegar put the balloon on the water bottle, then lift it so the baking soda goes in the vinegar, this will blow up the balloon
