A 40-N force acts on an 80-kg object, initially moving at 20 m/s. How far will the object travel in the next five seconds?
1 answer:
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The length of the pendulum is 3.3 m.
The given parameters:
- Mass, m = 1.5 kg
- Angle, θ = 35⁰
- Speed, v = 3.4 m/s
- The principle of conservation of energy states that, the total energy of a system is always conserved.
P.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
g(L - Lcosθ) = ¹/₂v²
gL(1 - cosθ) = ¹/₂v²
Thus, the length of the pendulum is 3.3 m.
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1) Forces acting on your body: force of gravity and normal reaction
2) Due to Newton's second law, N = mg
Explanation:
1)
When you sit on the computer, there are only two forces acting on you:
- The force of gravity, acting downward, of magnitude
, where m is your mass and
is the acceleration due to gravity, downward
- The normal reaction exerted by the chair on you,
, acting upward
Your body is in equilibrium (it doesn't move), this means that the two forces balance each other, therefore:
2)
We can now apply Newton's second law of motion to this situation; this law states that the net force acting on a body is equal to the product between its mass and its acceleration. Mathematically,
where
is the net force
m is the mass
a is the acceleration
In this situation, the net force is
So the equation becomes
However, we observe that your body is at rest; therefore, the acceleration is zero:
a = 0
And therefore,
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