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23 Nov 2019

Figure shows an overhead view of a 0.024 kg lemon half and two ofthe three horizontal forces that act on it as it is on africtionless table. Force F1 has a magnitude of 8 N and is at ?1 =27°. Force F2 has a magnitude of 7 N and is at ?2 = 25°. If thelemon half is stationary, what are projections of the third forceon (a)x-axis, (b)y-axis? If the lemon half has constant velocity v= (14 i - 16 j) m/s, what are projections of the third force on(c)x-axis, (d)y-axis? If the lemon half has varying velocity v =(13ti - 15tj) m/s2, where t is time, what are projections of thethird force on (e)x-axis, (f)y-axis?

http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c05/q34.jpg

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

a block of mass m lies on a horizontal frictionless surface and isattached to one end of a horizontal spring (spring constant k)whose other end is fixed. The block is initially at rest at theposition where the spring is unstretched (x = 0) when a constanthorizontal force in the positive direction of the x axis is appliedto it. A plot of the resulting kinetic energy of the block versusits position x is shown in Fig. 7-35.

http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c07/pict_7_38.gif


The scale of the figure's vertical axis is set by Ks= 6.0 J. (a)What is the magnitude of F (b) What is the value of k?

In Fig. 11-35, a solid brass ball of mass m will roll smoothlyalong a loop-the-loop track when released from rest along thestraight section. The circular loop has radius R, and the ball hasradius r << R. (a) What is h if the ball is on the verge ofleaving the track when it reaches the top of the loop? (b) If theball is released at height h = 6R, what is the magnitude of thehorizontal force component acting on the ball at point Q? Stateyour answers in terms of the given variables, using g whereapplicable.

http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c11/qu_11_08.gif

which of the vectors below best represents the direction of the impulse vector j⃗ ?

 

To learn about the impulse-momentum theorem and its applications in some common cases.

Using the concept of momentum, Newton's second law can be rewritten as

?F? =dp? dt, (1)

where ?F?  is the net force F? net acting on the object, and dp? dt is the rate at which the object's momentum is changing.

If the object is observed during an interval of time between times t1 and t2, then integration of both sides of equation (1) gives

?t2t1?F? dt=?t2t1dp? dtdt. (2)

The right side of equation (2) is simply the change in the object's momentum p2??p1?. The left side is called the impulse of the net force and is denoted by J? . Then equation (2) can be rewritten as

J? =p2??p1?.

This equation is known as the impulse-momentum theorem. It states that the change in an object's momentum is equal to the impulse of the net force acting on the object. In the case of a constant net force F? net acting along the direction of motion, the impulse-momentum theorem can be written as

F(t2?t1)=mv2?mv1. (3)

Here F, v1, and v2 are the components of the corresponding vector quantities along the chosen coordinate axis. If the motion in question is two-dimensional, it is often useful to apply equation (3) to the x and y components of motion separately.

( The following questions will help you learn to apply the impulse-momentum theorem to the cases of constant and varying force acting along the direction of motion. First, let us consider a particle of mass m moving along the x-axis. The net force F is acting on the particle along the x-axis. F is a constant force.)

Learning Goal: To learn about the impulse-momentum

A) The particle starts from rest at t=0. What is the magnitude p of the momentum of the particle at time t? Assume that t>0.

B) The particle starts from rest at t=0. What is the magnitude v of the velocity of the particle at time t? Assume that t>0.

C) The particle has the momentum of magnitude p1 at a certain instant. What is p2, the magnitude of its momentum ?t seconds later?

D) The particle has the momentum of magnitude p1 at a certain instant. What is v2, the magnitude of its velocity ?t seconds later?

E) Find the magnitude of the impulse J delivered to the particle.

F) Which of the vectors below best represents the direction of the impulse vector J??
(Figure 1)

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