Answer:
a) k = 891.82 N/m
b) e = 0.0143 m = 1.43 cm
c) W = 5.02 J
Explanation:
Step 1: Data given
Mass = 2.60 kg
the spring stretches 2.86 cm = 0.0286
Step 2: What is the force constant of the spring?
Force constant, k = force applied / extension produced
k = (2.60kg * 9.81N/kg) / 0.0326 m
k = 891.82 N/m
b) If the 2.60-kg object is removed, how far will the spring stretch if a 1.30-kg block is hung on it
Extension = F/k = (1.30 kg * 9.81) / 891.82 = 0.0143 m = 1.43 cm
Half the mass means half the extension
c) How much work must an external agent do to stretch the same spring 7.50 cm from its unstretched position?
W = average force used * distance
W = 1/2 * k*e * e = 1/2 k*e²
W = 1/2 * 891.82 * (0.075)² = W = 5.02 J
Answer:
a) 0.658 seconds
b) 0.96 inches
Explanation:
Time taken by the ball to reach the highest point is 0.14 seconds
The highest point reached by the snowball above its release point is 0.315 ft
Total height the snowball will fall is 4+0.315 = 4.315 ft
The snowball will reach the bank at 0.14+0.518 = 0.658 seconds after it has been thrown
The snowball goes 0.5-0.42 = 0.08 ft = 0.96 inches
<span>The element with the greatest number of known stable isotopes is tin, with 10 stable isotopes. Including unstable isotopes, mercury, cesium, and barium are each known to have 40 isotopes. Theory predicts however that many unstable isotopes should exist which have not yet been discovered (especially on the neutron-rich side of the line of stability.)
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