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4. An ideal spring is used to fire a 15.0 g block horizontally. The spring has a spring
constant of 20 N/m and is initially compressed by 7.0 cm. What is the speed of the
pellet as it leaves the spring (at r = 0)?

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6. A new event has been proposed for the Winter Olympics. As seen in the figure, 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°, 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. 20° ww (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?
9 Spaceman Spiff lost his ship's altimeter during a freak meteor storm, but he needs to know when to deploy his retro rockets to insure a safe landing back on earth. Luckily, he has his trusty toy dart gun whose spring has a 110 N/m spring constant. He loads his 7.2 gram suction cup dart, compresses the spring 4.0 cm, takes vertical aim at the cabin ceiling, and shoots. The suction cup dart flies 1.47 meters above its initial spring-compressed position. What is Spiff's altitude above earth? a
A spring gun shoots out a plastic ball at speed v. The spring is then compressed twice the distance it was on the first shot.
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An 2.1 kg object is launched down a frictionless ramp at 7.2 m/s towards a spring connected to the bottom end of the ramp. The ramp is 44.8 m long and is angled at 48.4o above the horizontal. The spring constant for the spring is 1770 N/m. By how much is the spring compressed by the object? Round final answers to 2 decimal places.
A block of mass m 2.00 kg slides along a horizontal table with speed vo 9.50 m/s. At x = 0 it hits a spring with spring constant k95.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? wwwww.wl Number 9.50 m/s m Ar ?
5. A cart with m= 3.40kg rides on the track shown. The track is frictionless except for a level section 0.40m long where μk = 0.54. The cart is initially at rest against spring 1 (k₁ = 1400N/m) which is compressed by 8.00cm. When released it travels along the track until it reaches spring 2 (k2= 800N/m) which it compresses until the cart stops. If h₁ = 0.38m and h₂ = 0.14m, determine the speed of the cart at points A, B, C and D. Also how much will spring 2 be compressed at the end. framm] =3.40kg kží = 800 N/m Remb A k₁=1 2₁-1400/m h₁-0,38 D B d=0.40m = 0,54 мк of ....... oservation Im h₂= = 0,14

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