Answer:
0.04658 m from the nut
Explanation:
Recall that torque is defined as the vector product of force (F) times distance (d). Then, given that the force is applied perpendicular to the wrench, gives the sine of the angle (90 degrees) equal to 1, simplifying the calculation which consists basically on solving for d in the equation:
2.25 N*m = 48.3 N * d
d = 2.25 /48.3 m ≈ 0.04658 m
Answer:
6 rad/s
Explanation:
In a spring the angular frequency is calculated as follows:
where 
is the angular frequency, 
is the mass of the object in this case 
, and 
is the constant of the spring.
To calculate the angular frequency, first we need to find the constant which is calculated as follows:
Where 
is the force: 
, and 
is the distance from the equilibrium position: 
.
Thus the spring constant:
And now we do have everything necessary to calculate the angular frequency:
the angular frequency of the oscillation is 6 rad/s
Answer:
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Explanation:
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Kinetic energy =(1/2) (mass) (speed²)
First object: KE = (1/2) (2 kg) (2m/s)² = 4 joules during the lift.
Second object: KE = (1/2) (4kg) (3 m/s)² = 18 joules during the lift.
The second object has more kinetic energy while it's being lifted
than the first object has while it's being lifted. Once they reach their
final heights and stop, neither object has any kinetic energy.
