Answer:
d. Increase the velocity of the ride and decrease the radius
Explanation:
The normal force in the amusement park ride is produced by the centripetal force. The formula for this force is given as follows:
Fn = mv²/r
where,
m = mass of the body,
v = velocity of the body
r = radius of the path
Therefore, it is clear from the formula that force has a direct relation with the square of velocity and inverse relation with the radius of path. Hence, the design that will enable the rider to feel the greatest Fn will be:
<u>d. Increase the velocity of the ride and decrease the radius</u>
Answer:
-1.67 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, since the system is isolated (no external forces, since the ice is frictionless), the total momentum of Evelyin and Lily must be conserved.
The total momentum before is zero, since they are both at rest:
The total momentum after is:
where
m = 48.3 kg is Lily's mass
M = 57.4 kg is Evelyin's mass
V = 1.4 m/s is Evelyn's velocity
v is the Lily's velocity
Since momentum is conserved,
And so
Solving for v, we find Lily's velocity:
And the negative sign indicates that her direction is opposite to Evelyn's direction.
Answer:
E) 3.53 m/s
Explanation:
KE₁ + RE₁ = KE₂ + RE₂ + PE
½ mv₁² + ½ Iω₁² = ½ mv₂² + ½ Iω₂² + mgh
For a sphere, I = ⅖ mr²
½ mv₁² + ½ (⅖ mr²) ω₁² = ½ mv₂² + ½ (⅖ mr²) ω₂² + mgh
½ mv₁² + ⅕ mr² ω₁² = ½ mv₂² + ⅕ mr² ω₂² + mgh
Rolling without slipping means v = ωr.
½ mv₁² + ⅕ mv₁² = ½ mv₂² + ⅕ mv₂² + mgh
⁷/₁₀ mv₁² = ⁷/₁₀ mv₂² + mgh
⁷/₁₀ v₁² = ⁷/₁₀ v₂² + gh
Substitute:
⁷/₁₀ (5.50 m/s)² = ⁷/₁₀ v₂² + (9.8 m/s²) (3.00 m sin 25.0°)
v₂ = 3.53 m/s
Answer:
-0.01N
Explanation:
I'm assuming you're asking for the net force of the paper.
0.01N - 0.02N = -0.01N