The mass of the cart is 0.167 kg
Explanation:
We can solve the problem by using Newton's second law, which states that the net force applied to an object is equal to the product between its mass and its acceleration:
where
F is the net force acting on an object
m is its mass
a is its acceleration
For the cart in this problem, we have
F = 0.5 N is the net force applied
is the acceleration
Substituting, we find the mass:
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Answer:
The acceleration experienced by the occupants of the spaceship during launch is 282652.782 meters per square second.
Explanation:
Let suppose that spaceship is accelerated uniformly. A yard equals 0.914 meters. A feet equals 0.304 meters. If air viscosity and friction can be neglected, then acceleration (), measured in meters per square second, is estimated by this kinematic formula:
(1)
Where:
- Travelled distance, measured in meters.
,
- Initial and final speeds of the spaceship, measured in meters.
If we know that ,
and
, then the acceleration experimented by the spaceship is:
The acceleration experienced by the occupants of the spaceship during launch is 282652.782 meters per square second.
The mass m of the object = 5.25 kg
<h3>Further explanation</h3>Given
k = spring constant = 3.5 N/cm
Δx= 30 cm - 15 cm = 15 cm
Required
the mass m
Solution
F=m.g
Hooke's Law
F = k.Δx