school
Acemy

Work and Mechanical Energy

AP Physics 1· difficulty 3/5

A 1 kg1~\text{kg} block slides 2 m2~\text{m} along a frictionless θ\theta-incline starting from rest. Its final speed is 4 m/s4~\text{m/s}. The angle θ\theta satisfies (using g≈10 m/s2g \approx 10~\text{m/s}^2):

  • A

    sin⁡θ=0.40\sin\theta = 0.40

    check_circle
  • B

    sin⁡θ=0.20\sin\theta = 0.20

  • C

    sin⁡θ=0.60\sin\theta = 0.60

  • D

    sin⁡θ=0.80\sin\theta = 0.80

Explanation

KE gained: 12(1)(16)=8 J\tfrac{1}{2}(1)(16) = 8~\text{J}. Drop height h=2sin⁡θh = 2 \sin\theta, so mgh=8⇒1⋅10⋅2sin⁡θ=8⇒sin⁡θ=0.40m g h = 8 \Rightarrow 1 \cdot 10 \cdot 2 \sin\theta = 8 \Rightarrow \sin\theta = 0.40.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode