To determine the answer to this item, we use two (2) equations.
Equation for kinetic energy:
KE = 0.5 mv²
Equation for momentum:
P = mv
From the second equation, we can deduced that,
m = P/v
Substituting the known values from the given above,
m = 30/v
Using this expression in the first equation,
KE = 0.5 mv²; 150 = 0.5(30/v)(v²)
The value of v from the equation is 10 m/s.
The mass is therefore calculated as such,
m = 30/v = 30/10 = 3 kg
Hence, the answers are,
<em> Mass = 3 kg</em>
<em> Velocity = 10 m/s</em>
Answer:
2. ( b ) zero
3. ( c ) 10 s
4. Uniform then decreasing
Explanation:
2.
Since the motion is uniform, initial and final velocity will be 0, hence acceleration will be zero.
3.
Initial velocity ( u ) = 5 m/s
Final velocity ( v ) = 35 m/s
Acceleration ( a ) 3 m/s^2
To find : Time ( t )
Formula : -
t = v - u / a
= 35 - 5 / 3
= 30 / 3
t = 10 s
It will move to the right and most likely a tiny bit down
Answer:
44.4°
Explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an unknown angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos A = 10 / 14
A = cos⁻¹(5/7)
A ≈ 44.4°