Object A of mass 4 kg moves with a speed 2 m/s. Object B of mass 2 kg moves with a speed v8 m/s. Both objects are brought to rest by the same constant force. If the object A stops at a distance d, then what is the distance traveled by object B before coming to rest? a. 4 d b. 0.5 d c. 2 d d. d e. 0.25 d
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- Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?A spring of spring constant k =109.4 N/m rests on a horizontal frictionless surface. A 0.45kg particles compressed the spring by 0.15m. If the mass released from rest, what is the maximum speed of the mass (in m/s)? а. 2.34 O b. 5.47 О с. 1.05 O d. 6.01Kwame experimented with his spring scale and found that it took 3.5 N of force to move his spring scale 0.02 m. What is the spring constant of Kwame's spring scale? A 175 N. 0.07- 7.0 D. 3.48 B.
- A car is moving along the ground at 20m/s with a mass of 1200kg. If Hg=0.8 and µ,=0.7: a. What maximum acceleration can the car brake with? b. In this case, what is its stopping distance? c. Why is the car's stopping distance longer if the wheels lock and the car skids to a stop?A 1.75 kg particle moves as function of time as follows: x=4 cos(1.33t+4) Where distance is measured in meters and time in seconds. What is the maximum velocity of this particle? a. None of the choices b. 7.07 C. 5.32 d. 0.63 e. 1.335 A spring of spring constant k-470.5 N/m rests on a horizontal frictionless surface. A 0.45kg particles compressed the spring by 0.15m. If the mass released from rest, what is the maximum speed of the mass (in m/s)? O a. 12.46 O b. 4.85 O c. 23.53 O d. 2.17
- .A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring whose scale is 7.00 N/mm. If the maximum compression of the spring is 150 mm, what is the value of W? Disregard the mass of the spring. (Ans. W=105 N) w 600mm 150mm6. Consider a spring-mass system given by mu" + yu' + ku=0. a. Suppose y2>4mk and the initial conditions are u(0) = 5, u'(0) = a HUGE negative number. How many time(s) will the mass pass through the equilibrium position? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number. b. Same as above with y² = 4mk and u(0) = 2, u'(0) = a HUGE positive number. Infinity is considered a number. C. Suppose <4mk and the initial conditions are u(0) = -.0001, u'(0) = 0. How many time(s) will the mass pass through the equilibrium position? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number. d If y = 2 what is the limit of u(t) as too? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number.You are sitting on a deck of your house surrounded by oak trees. You hear the sound of an acorn hitting the deck. You wonder if an acorn will do much damage if instead of the deck it hits your head. Let the mass of the acom be 3.1g Suppose it drops from a height of 13 m (relative to your head). Assume that the acorn sinks in 0.50 cm of your head skin before coming to a stop. Determine the magnitude of the force that the acorn would exert in the head. Include explanations and a force diagram
- You are sitting on a deck of your house surrounded by oak trees. You hear the sound of an acorn hitting the deck. You wonder if an acorn will do much damage if instead of the deck it hits your head. Let the mass of the acom be 3.1g Suppose it drops from a height of 13 m (relative to your head). Assume that the acorn sinks in 0.50 cm of your head skin before coming to a stop. Determine the magnitude of the force that the acorn would exert on the head.DIRECTIONS. Solve the following problems. Draw free-body diagrams if necessary. Attach a scanned copy/picture of your solutions. (3 pts. each) An astronaut inside a 2.25 x 106 kg rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but you also do not want the astronaut to black out. Medical tests have shown that astronauts are in danger of blacking out at an acceleration greater than 4g. What is the maximum thrust that the engines of the rocket can have to just barely avoid blackout?X Exit full screen Press Esc to exit full screen A I.S ka bot moves back and forth hori zon tal frietionless sor tace between the box is nitially pressed agains t the stronger spring lorpieuing 64 a two ditterent springs : it 4.0 cm and then is released trom rest. k= 32 N /cm k=16 N/cm box m m la) by how much will the box compiess the weaker sping 6) What is the maximom jpeed the bot will reach