Solution Found!
A new event, shown in Figure P10.68, has been proposed for
Chapter 10, Problem 54P(choose chapter or problem)
A new event has been proposed for the Winter Olympics. As seen in Figure P10.54, an athlete will sprint 100 m, starting from rest, then leap onto a \(20 kg\) bobsled. The person and bobsled will then slide down a 50-m-long ice-covered ramp, sloped at \(20^{\circ}\), and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is \(40 kg\), has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash.
a. How far will Lisa compress the spring?
b. The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important?
Equation Transcription:
Text Transcription:
20 kg
20^circ
40 kg
Questions & Answers
QUESTION:
A new event has been proposed for the Winter Olympics. As seen in Figure P10.54, an athlete will sprint 100 m, starting from rest, then leap onto a \(20 kg\) bobsled. The person and bobsled will then slide down a 50-m-long ice-covered ramp, sloped at \(20^{\circ}\), and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is \(40 kg\), has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash.
a. How far will Lisa compress the spring?
b. The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important?
Equation Transcription:
Text Transcription:
20 kg
20^circ
40 kg
ANSWER:Step 1 of 3
Here we have to find the compression of the spring by Lisa.
The pictorial representation is given below.
Let's take the mass of lisa as \(m_{1}\) and the mass of the bobsled as \(m_{2}\).
The length of the ramp is \(50 \mathrm{~m}\)
Before the leap, the athlete sprint for \(100 \mathrm{~m}\)
The spring constant is,
\(k=2000 \mathrm{~N} / \mathrm{m}\)
The maximum speed can be achieved by lisa is \(12 \mathrm{~m} / \mathrm{s}\).